110664 has 48 divisors (see below), whose sum is σ = 315900. Its totient is φ = 34944.

The previous prime is 110651. The next prime is 110681. The reversal of 110664 is 466011.

110664 is a `hidden beast` number, since 1 + 1 + 0 + 664 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108900 + 1764 = 330^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

110664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2062 + ... + 2114.

2¹¹⁰⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157950).

110664 is an abundant number, since it is smaller than the sum of its proper divisors (205236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110664 is a wasteful number, since it uses less digits than its factorization.

110664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 110664 is about 332.6619906151. The cubic root of 110664 is about 48.0104144069.

Adding to 110664 its reverse (466011), we get a palindrome (576675).

The spelling of 110664 in words is "one hundred ten thousand, six hundred sixty-four".